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Finding the Fourth Proportional to 7,458.58, 10,293.04 and 4,101.60

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Solution

The fourth proportional to 7,458.58, 10,293.04 and 4,101.60 is: 5,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.58 : 10,293.04 = 4,101.60 : x
  2. Step 2: Convert to fraction form
    7,458.58/10,293.04 = 4,101.60/x
  3. Step 3: Cross multiply
    7,458.58x = 10,293.04 × 4,101.60
  4. Step 4: Simplify right side
    7,458.58x = 42,217,976.59
  5. Step 5: Solve for x
    x = 42,217,976.59/7,458.58
  6. Step 6: Final answer
    x = 5,660.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.